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2044504314 = 23527715187
BaseRepresentation
bin111100111011100…
…1010100011111010
312021111002120200000
41321313022203322
513141343114224
6534512453430
7101443666656
oct17167124372
95244076600
102044504314
1195a084396
1249084a276
1326775a188
14155761a66
15be7540c9
hex79dca8fa

2044504314 has 48 divisors (see below), whose sum is σ = 4610712288. Its totient is φ = 678996432.

The previous prime is 2044504313. The next prime is 2044504331. The reversal of 2044504314 is 4134054402.

It is a happy number.

2044504314 is a `hidden beast` number, since 204 + 450 + 4 + 3 + 1 + 4 = 666.

It is a super-3 number, since 3×20445043143 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2044504313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127029 + ... + 142215.

It is an arithmetic number, because the mean of its divisors is an integer number (96056506).

Almost surely, 22044504314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2044504314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305356144).

2044504314 is an abundant number, since it is smaller than the sum of its proper divisors (2566207974).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2044504314 is a wasteful number, since it uses less digits than its factorization.

2044504314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15481 (or 15469 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2044504314 is about 45216.1952623172. The cubic root of 2044504314 is about 1269.1978968066.

Adding to 2044504314 its reverse (4134054402), we get a palindrome (6178558716).

The spelling of 2044504314 in words is "two billion, forty-four million, five hundred four thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 277 486 554 831 1662 2493 4986 7479 14958 15187 22437 30374 44874 45561 67311 91122 134622 136683 273366 410049 820098 1230147 2460294 3690441 4206799 7380882 8413598 12620397 25240794 37861191 75722382 113583573 227167146 340750719 681501438 1022252157 2044504314